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Finding the Fourth Proportional to 524.09, 785.52 and 304.79

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Solution

The fourth proportional to 524.09, 785.52 and 304.79 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 785.52 = 304.79 : x
  2. Step 2: Convert to fraction form
    524.09/785.52 = 304.79/x
  3. Step 3: Cross multiply
    524.09x = 785.52 × 304.79
  4. Step 4: Simplify right side
    524.09x = 239,414.71
  5. Step 5: Solve for x
    x = 239,414.71/524.09
  6. Step 6: Final answer
    x = 456.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.